Home
Class 12
PHYSICS
Find the natural frequency of a circuit ...

Find the natural frequency of a circuit jcontaininig inductance of `100 mu H` and a capacity of `0.1 mu F`. To which wavelength will its respone be maximum? How long will the oscillations last ?`

Text Solution

Verified by Experts

Here,`v = ? L = 100 mu H = 10^(-4) H`
`C = 0.01 mu F = 10^(-8) F`
`v = (1)/(2 pi sqrt(LC)) = (1)/(2 pi sqrt(10^(-4) xx 10^(-8))) = (10^(6))/(2 pi) Hz`
`v = 159.2 xx 10^(3) Hz = 159.2 kHz`
`lambda = (C )/(v) = (3 xx 10^(8))/(159.2 xx 10^(3)) = 1.884 xx 10^(3) m`
As no loss of energy is assumed, therefore, the oscillations will continue for infinite time.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Solved Examples (b)|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Short Answer Qusetions|2 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Exercise|191 Videos

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise II Focus multiple choice question|5 Videos

Similar Questions

Explore conceptually related problems

Find the natural frequency of a circuit containing inductance of 100 mu H and a capacity of 0.01 mu F . To which wavlength, its response will be maxmum ? For how long will the oscillations continue ?

Find the natural frequency of oscillation of a circuit containing an inductance of 400 mH and a capacity of 40 mu F . To which wavelength will its response be maximum ? How long will the oscillations last ?

An LC current contains inductance L=1mu H and capacitance C=0.01 muF . The wavelength of electromagnetic wave generated is nearly:

An LC circuit oscillating at natural frequency conssts of an inductor of inductance 30 m H and a capacitor of capacitance 60 muF . The maximum value of instantaneous charge on capacitor in the circuit is 250 mu C . If I is the current in the circuit then answer the following : (i) What is the value of (dI)/(dt) when charge is 150 mu C? (ii) Calculate the value of I when charge is 200 muC . (iii) Find the maximum value of I. (iv) For what value of q I is half of its maximum value ?

In the given circuit find out charge on 6mu F and 1mu F capacitor.

An oscillator circuit contains an inductor 0.05 H and a capacitor of capacity 80 mu F . When the maximum voltage across the capacitor is 200 V, the maximum current (in amperes) in the circuit is

The impedance of coaxial cable, when its inductance is 0.40 mu H and cappacitance is 1xx10^(-11) F , can be

At what frequency 1 Henry inductance offers the same impedance as 1 mu F capacitor?

A circuit consists of a resistance 10 ohm and a capacitance of 0.1 mu F If an alternating e.m.f. of 100 V. 50 Hz is applied, calculate the current in the circuit.